Eventually semisimple weak $FI$-extending modules

Eventually semisimple weak $FI$-extending modules

In this article, we study modules with the weak $FI$-extending property. We prove that if $M$ satisfies weak $FI$-extending, pseudo duo, $C_3$ properties and $M/{\rm Soc} M$ has finite uniform dimension then $M$ decomposes into a direct sum of a semisimple submodule and a submodule of finite uniform...

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Bibliographic Details
Main Authors: Figen Takil Mutlu, Adnan Tercan, Ramazan Yaşar
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2023-07-01
Series:Mathematica Bohemica
Subjects:
$cs$-module
weak $cs$-module
uniform dimension
ascending chain on essential submodules
$c_{11}$-module
$fi$-extending
weak $fi$-extending
Online Access:http://mb.math.cas.cz/full/148/2/mb148_2_5.pdf

Internet

http://mb.math.cas.cz/full/148/2/mb148_2_5.pdf

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